Extensions 1→N→G→Q→1 with N=C₂×D₄ and Q=S₃

Direct product G=N×Q with N=C₂×D₄ and Q=S₃

		d	ρ	Label	ID
C₂×S₃×D₄		24		C2xS3xD4	96,209

Semidirect products G=N:Q with N=C₂×D₄ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×D₄)⋊₁S₃ = C₂×D₄⋊S₃	φ: S₃/C₃ → C₂ ⊆ Out C₂×D₄	48		(C2xD4):1S3	96,138
(C₂×D₄)⋊₂S₃ = D₁₂⋊₆C₂²	φ: S₃/C₃ → C₂ ⊆ Out C₂×D₄	24	4	(C2xD4):2S3	96,139
(C₂×D₄)⋊₃S₃ = C₂³⋊₂D₆	φ: S₃/C₃ → C₂ ⊆ Out C₂×D₄	24		(C2xD4):3S3	96,144
(C₂×D₄)⋊₄S₃ = D₆⋊₃D₄	φ: S₃/C₃ → C₂ ⊆ Out C₂×D₄	48		(C2xD4):4S3	96,145
(C₂×D₄)⋊₅S₃ = C₂³.₁₄D₆	φ: S₃/C₃ → C₂ ⊆ Out C₂×D₄	48		(C2xD4):5S3	96,146
(C₂×D₄)⋊₆S₃ = C₁₂⋊₃D₄	φ: S₃/C₃ → C₂ ⊆ Out C₂×D₄	48		(C2xD4):6S3	96,147
(C₂×D₄)⋊₇S₃ = D₄⋊₆D₆	φ: S₃/C₃ → C₂ ⊆ Out C₂×D₄	24	4	(C2xD4):7S3	96,211
(C₂×D₄)⋊₈S₃ = C₂×D₄⋊₂S₃	φ: trivial image	48		(C2xD4):8S3	96,210

Non-split extensions G=N.Q with N=C₂×D₄ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×D₄).₁S₃ = D₄⋊Dic₃	φ: S₃/C₃ → C₂ ⊆ Out C₂×D₄	48		(C2xD4).1S3	96,39
(C₂×D₄).₂S₃ = C₁₂.D₄	φ: S₃/C₃ → C₂ ⊆ Out C₂×D₄	24	4	(C2xD4).2S3	96,40
(C₂×D₄).₃S₃ = C₂³.₇D₆	φ: S₃/C₃ → C₂ ⊆ Out C₂×D₄	24	4	(C2xD4).3S3	96,41
(C₂×D₄).₄S₃ = C₂×D₄.S₃	φ: S₃/C₃ → C₂ ⊆ Out C₂×D₄	48		(C2xD4).4S3	96,140
(C₂×D₄).₅S₃ = C₂³.₂₃D₆	φ: S₃/C₃ → C₂ ⊆ Out C₂×D₄	48		(C2xD4).5S3	96,142
(C₂×D₄).₆S₃ = C₂³.₁₂D₆	φ: S₃/C₃ → C₂ ⊆ Out C₂×D₄	48		(C2xD4).6S3	96,143
(C₂×D₄).₇S₃ = D₄×Dic₃	φ: trivial image	48		(C2xD4).7S3	96,141

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